Question

What is the discriminant and how many solutions?

Answer 1

Explanation:

`\text{Discriminant} =\Delta = b^2-4ac\\</p><p>\implies \Delta = 7^2-4(1)(10)=49-40=9\\</p><p>\therefore \Delta >0\\`

Since the discriminant is greater than zero, there are two real solutions.

Also, the solutions are $x=5$ and $x=2$